977645 has 16 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 720000.

The previous prime is 977629. The next prime is 977671. The reversal of 977645 is 546779.

It is not a de Polignac number, because 977645 - 2⁴ = 977629 is a prime.

It is a super-3 number, since 3×977645³ = 2803269198757833375, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 977599 and 977608.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 977645.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3770 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2⁹⁷⁷⁶⁴⁵ is an apocalyptic number.

977645 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

977645 is a deficient number, since it is larger than the sum of its proper divisors (292435).

977645 is a wasteful number, since it uses less digits than its factorization.

977645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its digits is 52920, while the sum is 38.

The square root of 977645 is about 988.7593235970. The cubic root of 977645 is about 99.2492105929.

The spelling of 977645 in words is "nine hundred seventy-seven thousand, six hundred forty-five".